# Axler Linear Algebra What does this notation mean?

1. Jul 4, 2009

In chapter 1 of Axler's LA Done Right, he defines a polynomial as such:

"Our next example of a vector space involves polynomials. A function $p:\mathbf{F}\rightarrow\mathbf{F}$ is called a polynomial with coefficients in
F ..."

Can someone translate this "$p:\mathbf{F}\rightarrow\mathbf{F}$" into words? I have never seen that notation before.

2. Jul 4, 2009

### nicksauce

"p: A->B" means p is a function with domain A and codomain B. Or in other words, p takes elements from the set A and outputs members of the set B.

3. Jul 5, 2009

Thanks! How would one know that btw? That is, what subject does one learn that in?

4. Jul 5, 2009

### HallsofIvy

Staff Emeritus
Normally, one learns what "F:A-> B" means in basic algebra or pre-calculus.

5. Jul 5, 2009

### g_edgar

Normally, one uses textbooks in conjunction with an instructor, and the instructor answers such questions. I guess this board is a (slow) substitute for having an instructor...

6. Jul 5, 2009